is 2 5056651 - 1
has 1522204 decimal digits
takes 0.701 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L3DF664373BA92DB1double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual2675.876265.6716%1500000450000000.77787.6717%6.654068.3052%2.6336%
PrimeNet2610.060762.2951%220005000000.00973.4047%0.070463.5788%1.2837%
GPU722651.442864.6154%340007000000.01412.4206%1.456965.4719%0.8565%
Difference+2+4.4334+1.0563%+1466000+44300000+0.7637+5.2511%+5.1971+2.8333%+2.8333%

Known prime factors (1 factor, 112.8 bits, 0.00222997% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
5056651880352057983803782302635148019568134112.762870489240787829516316861840
24 × 3 × 5 × 13 × 89 × 277 × 367 × 47143 × 50683 × 12906053
2017-06-2550683129060533.380e+100.15100.2640

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2006-01-15T00:00:00Jocelyn Larouchev4_computers5000050000---0.010--0.711%
2009-07-30T02:07:00harleeP4_2600600001065000---0.023--2.360%
2017-06-25T10:20:39mikrS0651500000450000001234112.7620.7781.4021.5567.672%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2016-02-23T16:39:07Mark RoseManual testing21261--0.061--
2008-09-01T15:19:00Sturle Sundelara261262--0.061--
2009-08-08T04:05:00GrunwalderGIMPManual testing21263--0.316--
2016-02-23T16:39:07Mark RoseManual testing262263--0.194--
2014-09-03T01:17:00krackerManual testing263264--0.388--
2014-09-14T23:38:00monstManual testing264265--0.739--
2015-08-01T23:20:00snme2pm1Manual testing265266--1.478--
2016-05-20T16:48:11Gordon SpenceManual testing266267--2.956--


ECM factoring results:

Old Calculation Method

Total ECM effort:1.265 GHz-days
Estimated T-Level:0.300
DigitsB1CurvesCompleteFacMiss
20110006 / 1000.06094.148%
25500006 / 2800.02197.876%

New Calculation Method

Total ECM effort:1.265 GHz-days
Estimated T-Level:0.300
DigitsB1CompleteFacMiss
20110000.19482.403%
25500000.01798.266%
302500000.00199.892%


ECM Summary

B1B2factorcurvesGHz-days
50000500000061.265


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2000-05-31T00:00:00ANONYMOUSv4_computers3DF664373BA92DB10.701


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-30T15:11:53alpertronManual testing
8803520579838037823026351480195681
8BF4FF07A5F28A__no
2018-01-19T03:48:50kkmrkkblmbrbkc4.xlarge
8803520579838037823026351480195681
8BF4FF07A5F28A__no


P-1 factor-bounds graph:
B1 = 1500000, B2 = 45000000 (P-1 stage 2)
B1 = 1500000 (P-1 stage 1)
B1 = 60000, B2 = 1065000 (P-1 stage 2)
B1 = 60000 (P-1 stage 1)
B1 = 50000 (P-1 stage 1)
103
104
105
106
107
103
104
105
106
107
108
TF factor-bounds graph:
267
266
265
264
263
262
261
250
260
270
280
290
2100
2110
2120
Last modified: 2018-01-19T03:48:50+00:00